If X is discrete random variable which takes the values of x1,x2,x3….. Xn and the corresponding probabilities are p1, p2, ……….pn, then, X follows the probability distribution.
PROBABILITY DISTRIBUTION
If X is
discrete random variable which takes the values of x1, x2,x3….. Xn and the corresponding probabilities are p1, p2, ……….pn, then, X follows the probability distribution. The
two main properties of probability distribution are: (i) P(Xi) is always
greater than or equal to zero and less than or equal to one, and (ii) the summation
of probability distribution is always equal to one. For example, tossing of an
unbiased coin twice.
Then the
probability distribution is:Expectation of probability
Let X be the discrete random variable which takes the value of x1, x2,…… xn then the respective probability
is p1, p2, ………… pn, then the expectation
of probability distribution is p1x1 + p2x2 + …………..
+ pnxn. In
the above example, the expectation of probability distribution is (0* ¼
+1*1/2+2*¼) =1.
Tags : Research Methodology - Statistical Analysis
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